US9404987B2 - Method for correcting image distortion and system, and magnetic resonance imaging equipment - Google Patents
Method for correcting image distortion and system, and magnetic resonance imaging equipment Download PDFInfo
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- US9404987B2 US9404987B2 US13/872,292 US201313872292A US9404987B2 US 9404987 B2 US9404987 B2 US 9404987B2 US 201313872292 A US201313872292 A US 201313872292A US 9404987 B2 US9404987 B2 US 9404987B2
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/44—Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
- G01R33/48—NMR imaging systems
- G01R33/54—Signal processing systems, e.g. using pulse sequences ; Generation or control of pulse sequences; Operator console
- G01R33/56—Image enhancement or correction, e.g. subtraction or averaging techniques, e.g. improvement of signal-to-noise ratio and resolution
- G01R33/565—Correction of image distortions, e.g. due to magnetic field inhomogeneities
- G01R33/56572—Correction of image distortions, e.g. due to magnetic field inhomogeneities caused by a distortion of a gradient magnetic field, e.g. non-linearity of a gradient magnetic field
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/44—Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
- G01R33/48—NMR imaging systems
- G01R33/54—Signal processing systems, e.g. using pulse sequences ; Generation or control of pulse sequences; Operator console
- G01R33/56—Image enhancement or correction, e.g. subtraction or averaging techniques, e.g. improvement of signal-to-noise ratio and resolution
- G01R33/563—Image enhancement or correction, e.g. subtraction or averaging techniques, e.g. improvement of signal-to-noise ratio and resolution of moving material, e.g. flow contrast angiography
- G01R33/56341—Diffusion imaging
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R33/00—Arrangements or instruments for measuring magnetic variables
- G01R33/20—Arrangements or instruments for measuring magnetic variables involving magnetic resonance
- G01R33/44—Arrangements or instruments for measuring magnetic variables involving magnetic resonance using nuclear magnetic resonance [NMR]
- G01R33/48—NMR imaging systems
- G01R33/54—Signal processing systems, e.g. using pulse sequences ; Generation or control of pulse sequences; Operator console
- G01R33/56—Image enhancement or correction, e.g. subtraction or averaging techniques, e.g. improvement of signal-to-noise ratio and resolution
- G01R33/565—Correction of image distortions, e.g. due to magnetic field inhomogeneities
- G01R33/56518—Correction of image distortions, e.g. due to magnetic field inhomogeneities due to eddy currents, e.g. caused by switching of the gradient magnetic field
Definitions
- the present invention relates to the technical field of magnetic resonance imaging (MRI), and particularly to a method for correcting image distortion and system for diffusion-weighted echo planar imaging (DW-EPI) and magnetic resonance imaging equipment.
- MRI magnetic resonance imaging
- DW-EPI diffusion-weighted echo planar imaging
- Diffusion imaging is a functional magnetic resonance imaging technology which has very high clinical importance, which can detect the biological properties of the diffusion of water molecules in human tissue and thus detect many pathologies which cannot be found by conventional medical imaging means.
- Diffusion imaging is usually implemented using an echo planar imaging (EPI) sequence; the imaging speed of the EPI sequence is very high but it is easily affected by various artifacts, especially image distortion.
- EPI echo planar imaging
- Diffusion-weighted imaging is an important imaging method of diffusion imaging, which is usually implemented using a DW-EPI sequence, and the DW-EPI sequence usually realizes diffusion weight by adding a diffusion gradient into the EPI sequence.
- the diffusion gradient of the DW-EPI sequence will introduce an eddy current field into the imaging space, and the additional magnetic field of eddy current field causes image distortion.
- the distortion degrees and types of these single images are not completely identical.
- the appearance of the image distortion not only depends on the magnitude of the gradient, i.e. the diffusion weight, but also depends on the direction of the gradient.
- the size of the diffusion weight is usually determined through a so-called “b value”, and an image with the b value being zero usually does not have distortion, and an image with the b value not being zero has distortion.
- Means for suppressing the eddy current field includes pre-enhancement of gradient coils and gradient pulses using self-shielding.
- Self-shielding coils include a main coil and a shielding coil, wherein the direction of the magnetic field generated by the shielding coil during imaging is opposite to that of the main coil, and as specially designed, this pair of coils can generate the required gradient magnetic field within an imaging area, and the magnetic field outside the imaging area is as approximate to zero as possible, which reduces the eddy current field essentially.
- the pre-enhancement technology is to counteract the influence of the eddy current field by changing the shape of the gradient waveform. These methods can be used to effectively reduce but cannot completely eliminate the influence of the eddy current field.
- the DW-EPI sequence is very sensitive to the eddy current field, and in order to improve the imaging quality, a special method is needed.
- An object of the present invention is to provide a method for correcting image distortion in DW-EPI, and a system for correcting image distortion in DW-EPI, and a system for correcting image distortion in DW-EPI, for improving the image quality of magnetic resonance imaging.
- the present invention will also propose magnetic resonance imaging equipment.
- the present invention provides a method for correcting image distortion in diffusion-weighted echo planar imaging, comprising:
- the combined sequence comprises a diffusion-weighted echo planar imaging sequence and a marker sequence applied before the same; and utilizing the diffusion-weighted echo planar imaging sequence for acquisition to obtain a plurality of diffusion-weighted echo planar images with the same b values and diffusion directions as the marked images;
- calculating a stretching coefficient and a displacement coefficient corresponding to each image data column of the diffusion-weighted echo planar image comprises:
- determining the position of a wave peak immediately adjacent to one side of the highest peak in a Fourier transform spectrum curve of the reference image data column performing position fitting on the wave peak, and taking the peak value position of the fitted wave peak as a reference marker frequency
- determining the position of a wave peak immediately adjacent to one side of the highest peak in a Fourier transform spectrum curve of the distorted image data column performing position fitting on the wave peak, and taking the peak value position of the fitted wave peak as a distortion marker frequency
- selecting a plurality of distorted image data columns from the distortion marker image comprises: successively extracting each image data column in the distortion marker image, for the currently extracted image data column, calculating a Fourier transform spectrum curve of the image data column, and if the ratio between the peak value of the highest peak and the peak value of a wave peak on one side of the highest peak in the spectrum curve is greater than a preset selection threshold value, then selecting the currently extracted image data column as a distorted image data column.
- Selecting a plurality of reference image data columns from the reference marker image comprises: successively extracting each image data column in the reference marker image, for the currently extracted image data column, calculating a Fourier transform spectrum curve of the image data column, and if the ratio between the peak value of the highest peak in the spectrum curve and the peak value of a wave peak on one side of the highest peak is greater than a preset selection threshold value, then selecting the currently extracted image data column as a reference image data column.
- the present invention also provides a system for correcting image distortion in diffusion-weighted echo planar imaging, comprising:
- an image acquisition unit for utilizing a combined sequence for acquisition to obtain a plurality of marked images with different preset b values and different preset diffusion directions, wherein the combined sequence comprises a diffusion-weighted echo planar imaging sequence and a marker sequence applied before the same; and utilizing the diffusion-weighted echo planar imaging sequence for acquisition to obtain a plurality of diffusion-weighted echo planar images with the same b values and diffusion directions as the marked images;
- a marker image generation unit for subtracting each of the marked images from the diffusion-weighted echo planar images having the same b values and the same diffusion directions to obtain a marked image corresponding to each of the diffusion-weighted echo planar images, wherein a marker image with the b value being zero is a reference marker image, and a marker image with the b value not being zero is a distortion marker image;
- a distortion coefficient calculation unit for, regarding a current diffusion-weighted echo planar image in various diffusion-weighted echo planar images with the b value not being zero, utilizing a distortion marker image having the same b value and the same diffusion direction as the current diffusion-weighted echo planar image and a reference marker image corresponding to the current diffusion-weighted echo planar image to calculate a stretching coefficient and a displacement coefficient corresponding to each image data column of the current diffusion-weighted echo planar image;
- an image correction unit for utilizing the stretching coefficient and displacement coefficient corresponding to each image data column of the current diffusion-weighted echo planar image obtained by the distortion coefficient calculation unit to correct the current diffusion-weighted echo planar image.
- the distortion coefficient calculation unit includes:
- an image data column selection subunit for selecting a plurality of distorted image data columns from the distortion marker image corresponding to the current diffusion-weighted echo planar image, and for each of the distorted image data columns selected, selecting a reference image data column in a corresponding position from the reference marker image; or, selecting a plurality of reference image data columns from the reference marker image, and for each of the selected reference image data columns, selecting a distorted image data column in a corresponding position from the distortion marker image;
- a marker frequency determination subunit for, regarding the current reference image data column selected by the image data column selection subunit and the corresponding current distorted image data column thereof, determining the position of a wave peak immediately adjacent to one side of the highest peak in a Fourier transform spectrum curve of the current reference image data column, performing position fitting on the wave peak, and taking the peak value position of the fitted wave peak as a reference marker frequency; and determining the position of a wave peak immediately adjacent to one side of the highest peak in a Fourier transform spectrum curve of the current distorted image data column, performing position fitting on the wave peak, and taking the peak value position of the fitted wave peak as a distortion marker frequency;
- a stretching coefficient calculation subunit for taking the ratio between the distortion marker frequency and the reference marker frequency determined by the marker frequency determination subunit as a stretching coefficient of the current distorted image data column relative to the current reference image data column;
- a displacement coefficient calculation subunit for utilizing the stretching coefficient calculated by the stretching coefficient calculation subunit to correct the current distorted image data column, successively displacing the corrected current distorted image data column in a preset direction according to a preset displacement interval, calculating a relevance value between the current distorted image data column and the current reference image data column after each displacement, and taking the displacement amount corresponding to the maximum relevance value as a displacement coefficient of the current distorted image data column relative to the current reference image data column;
- a distortion coefficient fitting subunit for respectively performing, after the stretching coefficient calculation subunit and the displacement coefficient calculation subunit calculate stretching coefficients and displacement coefficients corresponding to a plurality of distorted image data columns, linear fitting and extrapolation on a plurality of stretching coefficients and a plurality of displacement coefficients to obtain the stretching coefficient and the displacement coefficient corresponding to each distorted image data column of the entire distortion marker image, as a stretching coefficient and a displacement coefficient corresponding to each image data column of the diffusion-weighted echo planar image.
- the image data column selection subunit successively extracts each image data column in the distortion marker image, and for the currently extracted image data column, calculates a Fourier transform spectrum curve of the image data column, and if the ratio between the peak value of the highest peak and the peak value of a wave peak on one side of the highest peak in the spectrum curve is greater than a preset selection threshold value, then selects the currently extracted image data column as a distorted image data column.
- the image data column selection subunit successively extracts each image data column in the reference marker image, and for the currently extracted image data column, calculates a Fourier transform spectrum curve of the image data column, and if the ratio between the peak value of the highest peak and the peak value of a wave peak on one side of the highest peak in the spectrum curve is greater than a preset selection threshold value, then selects the currently extracted image data column as a reference image data column.
- system further comprises: a sequence combination unit for applying a marker sequence before a diffusion-weighted echo planar imaging sequence to construct a combined sequence.
- the system further comprises: a processor and a computer readable storage medium; wherein any one of the sequence combination unit, the marker image generation unit, the distortion coefficient calculation unit and the image correction unit, or any combination thereof is program code stored in the computer readable storage medium; and the processor is used for executing the program code in the computer readable storage medium.
- the present invention also provides magnetic resonance imaging equipment comprising a system for correcting image distortion in diffusion-weighted echo planar imaging as described above.
- a combined sequence constructed from a marker sequence and a DW-EPI sequence is utilized for acquisition to obtain a marked image, and it is subtracted from a normally collected image to obtain a purely marker image; then a reference marker image and a distortion marker image corresponding to a normally collected image with the b value not being zero are utilized to calculate a distortion coefficient of the normally collected image with the b value not being zero, and then this distortion coefficient is utilized to correct the normally collected image with the b value not being zero, which can effectively correct the image distortion introduced by eddy current.
- a column as a unit, a plurality of reference image data columns are selected from the reference marker image, a plurality of distorted image data columns in corresponding positions are selected from the distortion marker image, the image distortion caused by the eddy current field are displaced as a whole, the shearing and stretching deformation are converted to merely two kinds of deformations, i.e. displacement and stretching, and the deformation of the entire distortion marker image relative to the reference marker image is determined by calculating a stretching coefficient and a displacement coefficient of a distorted image data column relative to a reference image data column, which simplifies the whole calculation process.
- FIGS. 1 a and 1 b are schematic drawings of a DW-EPI image with the b value being zero and a DW-EPI image with the b value not being zero in the embodiments of the present invention.
- FIG. 2 is an exemplary flowchart of a method for correcting image distortion for DW-EPI imaging in the embodiments of the present invention.
- FIG. 3 is a schematic diagram of a combined sequence in the embodiments of the present invention.
- FIGS. 4 a and 4 b are schematic drawings of a DW-EPI image and a marked image respectively, and FIG. 4 c is a schematic drawing of a marker image.
- FIG. 5 is a flowchart of the method for calculating the stretching coefficient and the displacement coefficient corresponding to each image data column of a DW-EPI image according to a reference marker image and a distortion marker image in the embodiments of the present invention.
- FIG. 6 a is a schematic diagram of a reference marker image and a distortion marker image corresponding thereto in the embodiments of the present invention.
- FIG. 6 b is a schematic diagram of a one-dimensional curve of an image data column corresponding to the dashed line in FIG. 6 a.
- FIG. 6 c is a schematic diagram of a Fourier transform spectrum curve of the reference image data column and a Fourier transform spectrum curve of the distorted image data column as shown in FIG. 6 a in the embodiments of the present invention.
- FIG. 6 d is a schematic diagram of the fitting of a wave peak in the region shown in the small box on the spectrum curve as shown in FIG. 6 c in the embodiments of the present invention.
- FIG. 7 is a schematic structural diagram of the system for correcting image distortion in DW-EPI imaging in the embodiments of the present invention.
- FIG. 8 is a schematic structural diagram of the distortion coefficient calculation unit as shown in FIG. 7 .
- FIGS. 9 e to 9 g are images after image correction in the diffusion directions in FIGS. 9 b to 9 d.
- FIGS. 10 a and 10 b are schematic drawings of the correction of an isotropic diffusion-weighted image when the b value is 1000 in the present example.
- FIG. 10 a is an isotropic DW-EPI image obtained through calculation using the originally collected single DW-EPI images as shown in FIGS. 9 b to 9 d
- FIG. 10 b is an isotropic diffusion-weighted image obtained through calculation using the corrected single DW-EPI images as shown in FIGS. 9 e to 9 g.
- FIGS. 11 a and 11 b are schematic drawings of the effects of generating an ADC based on a DW-EPI image before correction and after correction when the b value is 1000.
- FIGS. 12 e to 12 g are images after image correction in each diffusion direction in FIGS. 12 b to 12 d.
- x is the coordinate in the direction of frequency coding
- y is the coordinate in the direction of phase coding
- G x is the frequency coding gradient
- G y is the average value of phase coding gradients
- ⁇ is the duration of the phase coding gradient
- t esp is the echo distance
- first item b 0 (t) is irrelevant to spatial positions, and it is usually referred to as a zero order item.
- the second item is a linear item, or referred to as a first order item
- ⁇ right arrow over (r) ⁇ is a vector coordinate, the components thereof being x, y, and z, and correspondingly, the components of the vector gradient ⁇ right arrow over (g) ⁇ (t) are g x , g y and g z , which represent the gradient of the eddy current field in three directions of x, y and z respectively.
- Higher order items are usually not taken into account.
- z is a coordinate in the direction of slice selective gradient.
- Equation (4) can be substituted into the image distortion expression in equation (2) to obtain an expression of the image distortion caused by the eddy current field:
- the zero order eddy current field will cause overall displacement of the image
- the first order item in the direction of frequency coding will cause the shearing deformation of the image
- the first order item in the direction of phase coding will cause stretching deformation of the image.
- a single DW-EPI can be corrected with respect to the deformation type.
- each single column of image data therein is taken as a unit to correct the scaling and displacement.
- I 0 (x, y) represents a DW-EPI image with the b value being zero
- I 1 (x,y) represent a DW-EPI image with the b value not being zero, which are respectively as shown in FIGS. 1 a and 1 b .
- x is the direction of frequency coding
- y is the direction of phase coding.
- I 0 (x) and I 1 (x) are respectively used to represent an image data column in the direction of phase coding in a DW-EPI image, which are respectively shown by the solid line and dashed line in FIGS.
- the image distortion caused by the eddy current field includes overall displacement, shearing and stretching.
- S(x) and T(x) respectively represent the stretching coefficient and displacement coefficient of the x-th image data column.
- FIG. 2 is an exemplary flowchart of the method for correcting image distortion for DW-EPI imaging in the embodiments of the present invention. As shown in FIG. 2 , the method comprises the following steps:
- a marker sequence is applied before a DW-EPI sequence to construct a combined sequence.
- FIG. 3 is a schematic diagram of a combined sequence in the embodiments of the present invention, wherein the left side of FIG. 3 is a marker sequence, and the right side is a DW-EPI sequence.
- Step 202 the combined sequence is utilized for acquisition to obtain a plurality of marked images with different preset b values and different preset diffusion directions; and the DW-EPI sequence is utilized for acquisition to obtain a plurality of DW-EPI images with the same b values and diffusion directions as the marked images.
- FIGS. 4 a and 4 b respectively show a DW-EPI image and a marked image in the embodiments of the present invention, and both of them have the same b value and the same diffusion direction.
- Step 203 each of the marked images are subtracted from the DW-EPI images having the same b value and the same diffusion directions to obtain a marker image corresponding to each DW-EPI image.
- a marker image with the b value being zero can be referred to as a reference marker image, and a marker image with the b value not being zero can be referred to as a distortion marker image.
- FIG. 4 c shows a marker image in the embodiments of the present invention.
- the marker image is a marker image obtained after the subtraction of the marked image shown in FIG. 4 b from the DW-EPI image shown in FIG. 4 a.
- Step 204 for each DW-EPI image with the b value not being zero, a distortion marker image having the same b value and the same diffusion direction as the DW-EPI image and a reference marker image corresponding to the DW-EPI image are utilized to calculate a stretching coefficient and a displacement coefficient corresponding to each image data column of the DW-EPI image, and the stretching coefficient and displacement coefficient are utilized to correct the DW-EPI image.
- FIG. 5 shows a particular implementation method thereof, and as shown in FIG. 5 , the method includes the following steps:
- step 501 a plurality of distorted image data columns are selected from the distortion marker image, and for each selected distorted image data column, a reference image data column is selected from a corresponding position in the reference marker image.
- distortion coefficients i.e. stretching coefficient and displacement coefficient
- several image data columns close to the edge are also excluded, since these image data columns have few images, and significant errors will be introduced if they are used for calculating the displacement coefficient and the stretching coefficient. Therefore, in this step, several image data columns can be selected to calculate the distortion coefficient.
- FIG. 6 a shows a reference marker image and a corresponding distortion marker image thereof in the embodiments of the present invention, wherein the upper image is a reference marker image, and the lower image is a distortion marker image.
- the position corresponding to the dashed line in the reference marker image is a selected reference image data column, and the position corresponding to the dashed line in the distortion marker image is a selected distorted image data column.
- FIG. 6 b is a schematic diagram of a one dimensional curve of an image data column corresponding to the dashed line in FIG. 6 a.
- each image data column in the distortion marker image can be extracted successively, and for a currently extracted image data column, a Fourier transform spectrum curve of the image data column is obtained through calculation; and as shown in FIG. 6 c , the lower curve in FIG. 6 c is a Fourier transform spectrum curve of the image data column shown by the dashed line in the lower distortion marker image in FIG. 6 a . If the ratio between the peak value of the highest peak and the peak value of a wave peak (such as the wave peak in the region shown in the small box on the lower curve in FIG. 6 c ) on one side of the highest peak in the spectrum curve is greater than a preset selection threshold value, then the currently extracted image data column is selected as a distorted image data column.
- a plurality of reference image data columns can also be selected from the reference marker image, and for each selected reference image data column, a distorted image data column is selected from a corresponding position in the distortion marker image.
- the image data column selection subunit successively extracts each image data column in the reference marker image, and for the currently extracted image data column, calculates a Fourier transform spectrum curve of the image data column, and if the ratio between the peak value of the highest peak and the peak value of a wave peak on one side of the highest peak in the spectrum curve is greater than a preset selection threshold value, then selects the currently extracted image data column as a reference image data column.
- several image data columns in the middle region of the reference marker image can be selected directly as reference image data columns.
- Step 502 for the currently selected reference image data column and the corresponding distorted image data column thereof, the position of a wave peak immediately adjacent to one side of the highest peak is determined in the Fourier transform spectrum curve of the reference image data column, position fitting is performed on the wave peak, and the peak value position of the fitted wave peak is taken as a reference marker frequency; and the position of a wave peak immediately adjacent to one side of the highest peak is determined in the Fourier transform spectrum curve of the distorted image data column, position fitting is performed on the wave peak, and the peak value position of the fitted wave peak is taken as a distortion marker frequency.
- the Fourier transform spectrum curve of the reference image data column and the Fourier transform spectrum curve of the distorted image data column can be as shown in FIG. 6 c
- the upper curve in FIG. 6 c is a Fourier transform spectrum curve of the image data column shown by the dashed line in the upper reference marker image in FIG. 6 a
- the lower curve in FIG. 6 c is a Fourier transform spectrum curve of the image data column shown by the dashed line in the lower distortion marker image in FIG. 6 a
- the corresponding wave peak fitting schematic diagram can be as shown in FIG. 6 d , the upper wave peak schematic diagram in FIG.
- FIG. 6 d is a fitting schematic diagram of the wave peak in the region shown by the small box in the upper curve in FIG. 6 c , and accordingly, the peak value position of the wave peak is a reference marker frequency f ref (x);
- the lower wave peak schematic diagram in FIG. 6 d is a fitting schematic diagram of the wave peak in the region shown by the small box in the lower curve in FIG. 6 c , and accordingly, the peak value position of the wave peak is a distortion marker frequency f distorted (x).
- Step 503 the ratio between the distortion marker frequency and the reference marker frequency is taken as a stretching coefficient of the distorted image data column relative to the reference image data column.
- Step 504 the stretching coefficient is utilized to correct the distorted image data column, the corrected distorted image data column in a preset direction is successively displaced according to a preset displacement interval, a relevance value between the distorted image data column and the reference image data column after each displacement is calculated, and the displacement amount corresponding to the maximum relevance value is taken as a displacement coefficient of the distorted image data column relative to the reference image data column.
- a corresponding T(x) can be obtained.
- Step 505 after calculating stretching coefficients and displacement coefficients corresponding to a plurality of distorted image data columns, linear fitting and extrapolation are respectively performed on a plurality of stretching coefficients and a plurality of displacement coefficients to obtain the stretching coefficient and the displacement coefficient corresponding to each distorted image data column of the entire distortion marker image, as a stretching coefficient and a displacement coefficient corresponding to each image data column of the diffusion-weighted echo planar image.
- the calculation of the distortion coefficient will necessarily introduce some errors, and the stretching coefficient and displacement coefficient obtained through calculation are inaccurate; if these distortion coefficients are directly used to correct corresponding image data columns of a DW-EPI image, the results would be poor.
- the stretching coefficient and displacement coefficient of each column should also satisfy a linear relationship, and therefore, the least square method can be used to fit S(x) and T(x), and then they can be extrapolated to all the image data columns in the image to obtain the resultant S fit (x) and T fit (x) after fitting and extrapolation so as to reduce errors.
- the DW-EPI image with distortion can be corrected to obtain an image calibrated to the DW-EPI image with the b value being 0.
- FIG. 7 is a schematic structural diagram of a system for correcting image distortion in DW-EPI imaging in the embodiments of the present invention.
- the system can include: a sequence combination unit 701 , an image acquisition unit 702 , a marker image generation unit 703 , a distortion coefficient calculation unit 704 and an image correction unit 705 .
- the sequence combination unit 701 is used for applying a marker sequence before a diffusion-weighted echo planar imaging sequence so that they construct a combined sequence.
- the image acquisition unit 702 is used for utilizing the combined sequence for acquisition to obtain a plurality of marked images with different preset b values and different preset diffusion directions; and utilizing the DW-EPI sequence for acquisition to obtain a plurality of DW-EPI images having the same b values and diffusion directions as the marked images.
- the marker image generation unit 703 is used for subtracting each of the marked images from the diffusion-weighted echo planar images having the same b values and diffusion directions to obtain a marker image corresponding to each of the diffusion-weighted echo planar images, wherein a marker image with the b value being zero is a reference marker image, and a marker image with the b value not being zero is a distortion marker image.
- the distortion coefficient calculation unit 704 is used for, regarding each of diffusion-weighted echo planar images with the b value not being zero, utilizing a distortion marker image with the same b value and the same diffusion direction as the current diffusion-weighted echo planar image and a reference marker image corresponding to the current diffusion-weighted echo planar image to calculate a stretching coefficient and a displacement coefficient corresponding to each image data column of the current diffusion-weighted echo planar image.
- the image correction unit 705 is used for utilizing the stretching coefficient and displacement coefficient corresponding to each image data column of the current diffusion-weighted echo planar image obtained by the distortion coefficient calculation unit to correct the current diffusion-weighted echo planar image.
- the distortion coefficient calculation unit 704 can have a number of particular implementations, and FIG. 8 shows one implementation thereof. As shown in FIG. 8 , the distortion coefficient calculation unit 704 can include an image data column selection subunit 801 , a marker frequency determination subunit 802 , a stretching coefficient calculation subunit 803 , a displacement coefficient calculation subunit 804 and a distortion coefficient fitting subunit 805 .
- the image data column selection subunit 801 is used for selecting a plurality of distorted image data columns from the distortion marker image corresponding to the current diffusion-weighted echo planar image, and for each of the distorted image data columns selected, selecting a reference image data column in a corresponding position from the reference marker image; or, selecting a plurality of reference image data columns from the reference marker image, and for each of the selected reference image data columns, selecting a distorted image data column in a corresponding position from the distortion marker image.
- the marker frequency determination subunit 802 is used for, regarding the current reference image data column selected by the image data column selection subunit and the corresponding current distorted image data column thereof, determining the position of a wave peak immediately adjacent to one side of the highest peak in a Fourier transform spectrum curve of the current reference image data column, performing position fitting on the wave peak, and taking the peak value position of the fitted wave peak as a reference marker frequency; and determining the position of a wave peak immediately adjacent to one side of the highest peak in a Fourier transform spectrum curve of the current distorted image data column, performing position fitting on the wave peak, and taking the peak value position of the fitted wave peak as a distortion marker frequency.
- the stretching coefficient calculation subunit 803 is used for taking the ratio between the distortion marker frequency and the reference marker frequency determined by the marker frequency determination subunit as a stretching coefficient of the current distorted image data column relative to the current reference image data column.
- the displacement coefficient calculation subunit 804 is used for utilizing the stretching coefficient to correct the current distorted image data column, successively displacing the corrected current distorted image data column in a preset direction according to a preset displacement interval, calculating a relevance value between the current distorted image data column and the current reference image data column after each displacement, and taking the displacement amount corresponding to the maximum relevance value as a displacement coefficient of the current distorted image data column relative to the current reference image data column.
- the distortion coefficient fitting subunit 805 is used, after the stretching coefficient calculation subunit and the displacement coefficient calculation subunit calculate stretching coefficients and displacement coefficients corresponding to a plurality of distorted image data columns, for respectively performing linear fitting and extrapolation on a plurality of stretching coefficients and a plurality of displacement coefficients to obtain the stretching coefficient and the displacement coefficient corresponding to each distorted image data column of the entire distortion marker image as the stretching coefficient and the displacement coefficient corresponding to each image data column of the diffusion-weighted echo planar image.
- the image data column selection subunit 801 can successively extract each image data column in the reference marker image, and for the currently extracted image data column, calculate a Fourier transform spectrum curve of the image data column, and if the ratio between the peak value of the highest peak and the peak value of a wave peak on one side of the highest peak in the spectrum curve is greater than a preset selection threshold value, then it can select the currently selected image data column as a reference image data column; or, it can also directly select several image data columns in a middle region in the distortion marker image as distorted image data columns.
- the image data column selection subunit 801 can also successively extract each image data column in the reference marker image, and for the currently extracted image data column, calculate a Fourier transform spectrum curve of the image data column, and if the ratio between the peak value of the highest peak in the spectrum curve and the peak value of a wave peak on one side of the highest peak is greater than a preset selection threshold value, then it can select the currently selected image data column as a reference image data column; or, it can also directly select several image data columns in a middle region in the reference marker image as reference image data columns.
- the image acquisition unit 702 can be used for realizing the combination of all elements for image acquisition in magnetic resonance imaging equipment, for example, various gradient coils, image acquisition elements and so on can be included.
- the sequence combination unit 701 , any one of or any combination of the marker image generation unit 703 , the distortion coefficient calculation unit 704 and the image correction unit 705 can be a hardware circuit, and can also be program code.
- the system for correcting image distortion in DW-EPI imaging in the embodiments of the present invention can further include: a processor (not shown in the figure) and a computer readable storage medium (not shown in the figure).
- the processor is used for executing the program code in the computer readable storage medium.
- Any one of the sequence combination unit 701 , the marker image generation unit 703 , the distortion coefficient calculation unit 704 and the image correction unit 705 is program code stored in the computer readable storage medium.
- the magnetic resonance imaging equipment in the embodiments of the present invention can include a system for correcting image distortion in diffusion-weighted echo planar imaging of any one particular implementation above.
- the image distortion correction technology for diffusion-weighted echo planar imaging (DW-EPI) described in the embodiments of the present invention is suitable for all imaging technologies based on DW-EPI sequence, such as diffusion-weighted imaging (DWI), apparent diffusion coefficient calculation (ADC mapping), diffusion tensor imaging (DTI), fiber bundle tracking, and so on.
- DWI diffusion-weighted imaging
- ADC mapping apparent diffusion coefficient calculation
- DTI diffusion tensor imaging
- fiber bundle tracking and so on.
- FIG. 9 b is an image in the direction of phase coding,
- FIG. 9 c is an image in the direction of readout, and
- FIG. 9 d is an image in the slice selective direction.
- FIGS. 9 e to 9 g are images after correction in each diffusion direction in FIGS. 9 b to 9 d respectively, wherein FIG. 9 e is an image after correction of FIG. 9 b ,
- FIG. 9 f is an image after correction of FIG. 9 c , and
- FIG. 9 g is an image after correction of FIG. 9 d.
- FIGS. 10 a and 10 b show isotropic diffusion-weighted images with the b value being 1000 in this example, wherein FIG. 10 a is obtained through the calculation of the single DW-EPI images originally collected in FIGS. 9 b to 9 d , and FIG. 10 b is obtained through the calculation of corrected single DW-EPI images in FIGS. 9 e to 9 g . It can be seen from the enlargement and comparison of the edge regions of the respective lower right boxes that a corrected image can effectively reduce the extent of blur in the isotropic diffusion-weighted image.
- FIGS. 11 a and 11 b show respectively an ADC image generated using a raw isotropic diffusion-weighted image and an ADC image generated using a corrected isotropic diffusion-weighted image in this example, wherein FIG. 11 a is an ADC image generated using a raw isotropic diffusion-weighted image, and FIG. 11 b is an ADC image generated using a corrected isotropic diffusion-weighted image. It can be seen from the enlargement and comparison of the edge regions of the lower rectangular boxes that since the image distortion caused by the eddy current is effectively corrected, the ADC image generated using a corrected isotropic diffusion-weighted image is more accurate.
- FIG. 12 b is an image in the direction of phase coding,
- FIG. 12 c is an image in the direction of readout, and
- FIG. 12 d is an image in the slice selective direction.
- FIGS. 12 e to 12 g are images after correction in each diffusion direction in FIGS. 12 b to 12 d respectively, wherein FIG. 12 e is an image after correction of FIG. 12 b ,
- FIG. 12 f is an image after correction of FIG. 12 c , and
- FIG. 12 g is an image after correction of FIG. 12 d.
- the present invention relates to diffusion-weighted echo planar imaging in magnetic resonance imaging.
- a method for correcting image distortion including: applying a marker sequence before a diffusion-weighted echo planar imaging sequence to construct a combined sequence; utilizing the combined sequence for acquisition to obtain a plurality of marked images with different preset b values and different preset diffusion directions; utilizing the diffusion-weighted echo planar imaging sequence for acquisition to obtain a plurality of diffusion-weighted echo planar images with the same b values and diffusion directions as the marked images; calculating a stretching coefficient and a displacement coefficient corresponding to each image data column of the diffusion-weighted echo planar image, and utilizing the stretching coefficient and displacement coefficient to correct the diffusion-weighted echo planar image.
- a system for correcting image distortion in diffusion-weighted echo planar imaging and magnetic resonance imaging equipment having such a system.
- the present invention can effectively correct the image distortion introduced by eddy current.
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Abstract
Description
-
- 201—Constructing a combined sequence
- 202—Acquiring a marked image and a normal DW-EPI image
- 203—Obtaining a marker image
- 204—Obtaining a distortion coefficient of a corresponding DW-EPI image according to a reference marker image and a distortion marker image, and performing image correction using the distortion coefficient.
- 501—Selecting a distorted image data column and a reference image data column
- 502—Calculating a corresponding distortion marker frequency and a reference marker frequency according to the selected image data columns
- 503—Calculating a stretching coefficient
- 504—Calculating a displacement coefficient
- 505—Performing linear fitting and extrapolation on a plurality of stretching coefficients and a plurality of displacement coefficients to obtain the distortion coefficients of all the image data columns
- 701—Sequence combination unit
- 702—Image acquisition unit
- 703—Marker image generation unit
- 704—Distortion coefficient calculation unit
- 705—Image correction unit
- 801—Image data column selection subunit
- 802—Marker frequency determination subunit
- 803—Stretching coefficient calculation subunit
- 804—Displacement coefficient calculation subunit
- 805—Distortion coefficient fitting subunit
B e({right arrow over (r)},t)=b 0(t)+{right arrow over (r)}·{right arrow over (g)}(t)+ . . . (3)
B e(x,y)=b 0 +x·g x +y·g y (4)
I 0(x)=S(x)·I 1(x)+T(x) (6)
PSM(x,y)=y·S fit(x)+T fit(x) (7)
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| CN104181479B (en) * | 2013-05-23 | 2015-07-01 | 上海联影医疗科技有限公司 | Eddy current compensation method for magnetic resonance imaging system |
| US9632162B2 (en) * | 2013-12-06 | 2017-04-25 | Toshiba Medical Systems Corporation | Method of, and apparatus for, correcting distortion in medical images |
| CN103885017B (en) * | 2014-02-20 | 2017-02-22 | 厦门大学 | Image distortion correction method based on single sweep quadrature space-time coding magnetic resonance imaging |
| CN105676155B (en) * | 2014-11-19 | 2019-02-22 | 西门子(深圳)磁共振有限公司 | The magnetic field bump value-acquiring method and device and aberration emendation method and device of magnetic resonance imaging system |
| US9529068B2 (en) * | 2015-04-27 | 2016-12-27 | Synaptive Medical (Barbados) Inc. | System and method for image warp correction for magnetic resonance imaging |
| CA2976320C (en) * | 2015-07-29 | 2019-02-19 | Synaptive Medical (Barbados) Inc. | Method, system and apparatus for adjusting image data to compensate for modality-induced distortion |
| CN106483482B (en) | 2015-08-25 | 2019-08-23 | 上海联影医疗科技有限公司 | Gradient eddy bearing calibration and device for magnetic resonance imaging system |
| DE102017208335A1 (en) * | 2017-05-17 | 2018-11-22 | Siemens Healthcare Gmbh | Correction of multiple distortion effects in MR imaging |
| EP3699624A1 (en) * | 2019-02-25 | 2020-08-26 | Koninklijke Philips N.V. | Calculation of a b0 image using multiple diffusion weighted mr images |
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